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Finding the Fourth Proportional to 8.06, 11.93 and 8.01

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Solution

The fourth proportional to 8.06, 11.93 and 8.01 is: 11.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.06 : 11.93 = 8.01 : x
  2. Step 2: Convert to fraction form
    8.06/11.93 = 8.01/x
  3. Step 3: Cross multiply
    8.06x = 11.93 × 8.01
  4. Step 4: Simplify right side
    8.06x = 95.52
  5. Step 5: Solve for x
    x = 95.52/8.06
  6. Step 6: Final answer
    x = 11.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.